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end of the rod, along the re system. Take the poten

end of the rod, along the re system. Take the poten

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A thin, uniform rod has length L and mass M. A small uniform sphere of mass m is placed a distance x from one end of the rod, along the axis of the rod.a)Calculate the gravitational potential energy of the rod-sphere system. Take the potential energy to be zero when the rod and sphere are infinitely far apart. (Hint: Use the power series expansion for In(1+x).) b)Use Fx=-du/dx to find the magnitude of the gravitational force exerted on the sphere by the rod.
Transcribed Image Text:A thin, uniform rod has length L and mass M. A small uniform sphere of mass m is placed a distance x from one end of the rod, along the axis of the rod.a)Calculate the gravitational potential energy of the rod-sphere system. Take the potential energy to be zero when the rod and sphere are infinitely far apart. (Hint: Use the power series expansion for In(1+x).) b)Use Fx=-du/dx to find the magnitude of the gravitational force exerted on the sphere by the rod.
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